A triangular finite element with new approximation properties

Author:

Baidakova N. V.

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Reference6 articles.

1. P. G. Ciarlet and P. A. Raviart, “General Lagrange and Hermite interpolation in R n with applications to finite element methods,” Arch. Rational Mech. Anal. 46 (3), 177–199 (1972).

2. Yu. N. Subbotin, “Multidimensional piecewise continuous interpolation,” in Approximation and Interpolation Methods, Ed. by A. Yu. Kuznetsov (VTsN, Novosibirsk, 1981), pp. 148–153 [in Russian].

3. Yu. N. Subbotin, “The dependence of estimates of a multidimensional piecewise-polynomial approximation on the geometric characteristics of a triangulation,” Proc. Steklov Inst. Math. 4, 135–159 (1990).

4. N. V. Baidakova, “Influence of smoothness on the error of approximation of derivatives under local interpolation on triangulations,” Proc. Steklov Inst. Math. 277 (Suppl. 1), S33–S47 (2012).

5. J. Brandts, A. Hannukainen, S. Korotov, and M. Krizek, “On angle conditions in the finite element method,” SeMA J., No. 56, 81–95 (2011).

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